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{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [19, -11, 26, -6, 9, -1, 1], 'conductor': 0, 'degree': 6, 'dirichlet_group': [], 'disc_abs': 826875, 'disc_rad': 105, 'disc_sign': -1, 'frobs': [[2, [[6, 1]]], [3, [0]], [5, [0]], [7, [0]], [11, [[6, 1]]], [13, [[3, 2]]], [17, [[6, 1]]], [19, [[3, 1], [1, 3]]], [23, [[6, 1]]], [29, [[2, 3]]], [31, [[3, 2]]], [37, [[3, 1], [1, 3]]], [41, [[2, 3]]], [43, [[1, 6]]], [47, [[6, 1]]], [53, [[6, 1]]], [59, [[6, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [9, 12, 12], 'galois_label': '6T5', 'galt': 5, 'grd': 18.532726798013343, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 2, 'label': '6.0.826875.2', 'local_algs': ['3.6.3.2', '5.6.4.2', '7.3.2.3', '7.3.0.1'], 'monogenic': 0, 'num_ram': 3, 'r2': 3, 'ramps': [3, 5, 7], 'rd': 9.68813042775, 'regulator': {'__RealLiteral__': 0, 'data': '6.05528089807', 'prec': 44}, 'res': {'gal': ['1,-3,13,-38,35,87,-215,-61,935,-1903,2255,-1909,1291,-735,353,-140,43,-9,1'], 'sex': ['1,-2,-1,1', '-35,0,0,1'], 'sib': ['-1,-4,18,-24,8,-18,-3,-4,0,1', '1,-3,13,-38,35,87,-215,-61,935,-1903,2255,-1909,1291,-735,353,-140,43,-9,1']}, 'subfield_mults': [1], 'subfields': ['1.-1.1'], 'torsion_gen': '\\( \\frac{2}{41} a^{5} + \\frac{5}{41} a^{4} + \\frac{15}{41} a^{3} + \\frac{20}{41} a^{2} + \\frac{40}{41} a + \\frac{36}{41} \\)', 'torsion_order': 6, 'units': ['\\( \\frac{2}{41} a^{5} + \\frac{5}{41} a^{4} + \\frac{15}{41} a^{3} + \\frac{20}{41} a^{2} - \\frac{1}{41} a + \\frac{36}{41} \\)', '\\( \\frac{2}{41} a^{5} + \\frac{5}{41} a^{4} + \\frac{15}{41} a^{3} + \\frac{61}{41} a^{2} + \\frac{40}{41} a + \\frac{159}{41} \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', '1/41*a^5 - 18/41*a^4 - 13/41*a^3 + 10/41*a^2 + 20/41*a + 18/41']}